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Finding the Fourth Proportional to 11,106.80, 16,638.60 and 6,167.60

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Solution

The fourth proportional to 11,106.80, 16,638.60 and 6,167.60 is: 9,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.80 : 16,638.60 = 6,167.60 : x
  2. Step 2: Convert to fraction form
    11,106.80/16,638.60 = 6,167.60/x
  3. Step 3: Cross multiply
    11,106.80x = 16,638.60 × 6,167.60
  4. Step 4: Simplify right side
    11,106.80x = 102,620,229.36
  5. Step 5: Solve for x
    x = 102,620,229.36/11,106.80
  6. Step 6: Final answer
    x = 9,239.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.